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Simplifying 4.1q + -1.5 + -3.7 = 0.6q + -1.2 Reorder the terms: -1.5 + -3.7 + 4.1q = 0.6q + -1.2 Combine like terms: -1.5 + -3.7 = -5.2 -5.2 + 4.1q = 0.6q + -1.2 Reorder the terms: -5.2 + 4.1q = -1.2 + 0.6q Solving -5.2 + 4.1q = -1.2 + 0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.6q' to each side of the equation. -5.2 + 4.1q + -0.6q = -1.2 + 0.6q + -0.6q Combine like terms: 4.1q + -0.6q = 3.5q -5.2 + 3.5q = -1.2 + 0.6q + -0.6q Combine like terms: 0.6q + -0.6q = 0.0 -5.2 + 3.5q = -1.2 + 0.0 -5.2 + 3.5q = -1.2 Add '5.2' to each side of the equation. -5.2 + 5.2 + 3.5q = -1.2 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 3.5q = -1.2 + 5.2 3.5q = -1.2 + 5.2 Combine like terms: -1.2 + 5.2 = 4 3.5q = 4 Divide each side by '3.5'. q = 1.142857143 Simplifying q = 1.142857143
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